A 300-g collar can slide on a horizontal rod which is free to rotate about a vertical shaft. The collar is initially held at A by a cord attached to the shaft and compresses a spring of constant 5 N/m, which is undeformed when the collar is located 750 mm from the shaft. As the rod rotates at the rate θ = 12 rad/s, the cord is cut and the collar moves out along the rod. Neglecting friction and the mass of the rod, determine for position B of the collar

(a) The transverse component of the velocity of the collar,

(b) The radial and transverse components of its acceleration,

(c) The acceleration of the collar relative to the rod.

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150 mm -600 mm- - B